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Finding the Fourth Proportional to 9,938.20, 13,728.71 and 9,413.32

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Solution

The fourth proportional to 9,938.20, 13,728.71 and 9,413.32 is: 13,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.20 : 13,728.71 = 9,413.32 : x
  2. Step 2: Convert to fraction form
    9,938.20/13,728.71 = 9,413.32/x
  3. Step 3: Cross multiply
    9,938.20x = 13,728.71 × 9,413.32
  4. Step 4: Simplify right side
    9,938.20x = 129,232,740.42
  5. Step 5: Solve for x
    x = 129,232,740.42/9,938.20
  6. Step 6: Final answer
    x = 13,003.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.